Question

Four capacitors are connected as shown in the figure below. (Let C = 13.0

Answer 1

a)
the equivalent capacitances between
C and 3uf in series:
= 13*3/(13 + 3)
= 2.4375 uF
the previous and 6uF in parallel:
= 2.4375 + 6
= 8.4375 uF
the previous and 20 uF in series:
= 8.4375*20/(8.4375 + 20)
= 5.934 uF, equivalent capacitance between points a and b

b)
the charge between points a and b
= 5.934*11.5
= 68.24 uC

the charge on 20 uF
= 68.24 uC

the charge on parallel capacitors
= 68.24uC
the voltage across parallel capacitors
= 68.24/8.4375

= 8.0879 v
the charge on 6 uF
= 6*8.0879
= 48.527uC

the charge on series capacitors
= 2.4375*8.0879
= 19.71 uC
the charge on 3 uF
= 19.71 uC

the charge on C
= 19.71 uC